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Finding the Fourth Proportional to 12,907.46, 19,368.48 and 7,064.66

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Solution

The fourth proportional to 12,907.46, 19,368.48 and 7,064.66 is: 10,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.46 : 19,368.48 = 7,064.66 : x
  2. Step 2: Convert to fraction form
    12,907.46/19,368.48 = 7,064.66/x
  3. Step 3: Cross multiply
    12,907.46x = 19,368.48 × 7,064.66
  4. Step 4: Simplify right side
    12,907.46x = 136,831,725.92
  5. Step 5: Solve for x
    x = 136,831,725.92/12,907.46
  6. Step 6: Final answer
    x = 10,600.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.