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Finding the Fourth Proportional to 10,564.04, 15,832.28 and 5,883.86

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Solution

The fourth proportional to 10,564.04, 15,832.28 and 5,883.86 is: 8,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.04 : 15,832.28 = 5,883.86 : x
  2. Step 2: Convert to fraction form
    10,564.04/15,832.28 = 5,883.86/x
  3. Step 3: Cross multiply
    10,564.04x = 15,832.28 × 5,883.86
  4. Step 4: Simplify right side
    10,564.04x = 93,154,810.42
  5. Step 5: Solve for x
    x = 93,154,810.42/10,564.04
  6. Step 6: Final answer
    x = 8,818.11

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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.