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Finding the Fourth Proportional to 12,703.34, 19,055.03 and 5,303.77

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Solution

The fourth proportional to 12,703.34, 19,055.03 and 5,303.77 is: 7,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.34 : 19,055.03 = 5,303.77 : x
  2. Step 2: Convert to fraction form
    12,703.34/19,055.03 = 5,303.77/x
  3. Step 3: Cross multiply
    12,703.34x = 19,055.03 × 5,303.77
  4. Step 4: Simplify right side
    12,703.34x = 101,063,422.31
  5. Step 5: Solve for x
    x = 101,063,422.31/12,703.34
  6. Step 6: Final answer
    x = 7,955.66

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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.