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Finding the Fourth Proportional to 10,648.95, 14,672.39 and 7,106.01

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Solution

The fourth proportional to 10,648.95, 14,672.39 and 7,106.01 is: 9,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.95 : 14,672.39 = 7,106.01 : x
  2. Step 2: Convert to fraction form
    10,648.95/14,672.39 = 7,106.01/x
  3. Step 3: Cross multiply
    10,648.95x = 14,672.39 × 7,106.01
  4. Step 4: Simplify right side
    10,648.95x = 104,262,114.53
  5. Step 5: Solve for x
    x = 104,262,114.53/10,648.95
  6. Step 6: Final answer
    x = 9,790.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.