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Finding the Fourth Proportional to 11,565.17, 15,959.90 and 6,530.43

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Solution

The fourth proportional to 11,565.17, 15,959.90 and 6,530.43 is: 9,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.17 : 15,959.90 = 6,530.43 : x
  2. Step 2: Convert to fraction form
    11,565.17/15,959.90 = 6,530.43/x
  3. Step 3: Cross multiply
    11,565.17x = 15,959.90 × 6,530.43
  4. Step 4: Simplify right side
    11,565.17x = 104,225,026.08
  5. Step 5: Solve for x
    x = 104,225,026.08/11,565.17
  6. Step 6: Final answer
    x = 9,011.98

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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.