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Finding the Fourth Proportional to 10,582.24, 14,607.16 and 6,552.16

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Solution

The fourth proportional to 10,582.24, 14,607.16 and 6,552.16 is: 9,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.24 : 14,607.16 = 6,552.16 : x
  2. Step 2: Convert to fraction form
    10,582.24/14,607.16 = 6,552.16/x
  3. Step 3: Cross multiply
    10,582.24x = 14,607.16 × 6,552.16
  4. Step 4: Simplify right side
    10,582.24x = 95,708,449.47
  5. Step 5: Solve for x
    x = 95,708,449.47/10,582.24
  6. Step 6: Final answer
    x = 9,044.25

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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.