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Finding the Fourth Proportional to 10,497.51, 15,730.38 and 6,332.88

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Solution

The fourth proportional to 10,497.51, 15,730.38 and 6,332.88 is: 9,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.51 : 15,730.38 = 6,332.88 : x
  2. Step 2: Convert to fraction form
    10,497.51/15,730.38 = 6,332.88/x
  3. Step 3: Cross multiply
    10,497.51x = 15,730.38 × 6,332.88
  4. Step 4: Simplify right side
    10,497.51x = 99,618,608.89
  5. Step 5: Solve for x
    x = 99,618,608.89/10,497.51
  6. Step 6: Final answer
    x = 9,489.74

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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.