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Finding the Fourth Proportional to 10,497.48, 15,729.21 and 6,594.90

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Solution

The fourth proportional to 10,497.48, 15,729.21 and 6,594.90 is: 9,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.48 : 15,729.21 = 6,594.90 : x
  2. Step 2: Convert to fraction form
    10,497.48/15,729.21 = 6,594.90/x
  3. Step 3: Cross multiply
    10,497.48x = 15,729.21 × 6,594.90
  4. Step 4: Simplify right side
    10,497.48x = 103,732,567.03
  5. Step 5: Solve for x
    x = 103,732,567.03/10,497.48
  6. Step 6: Final answer
    x = 9,881.66

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