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Finding the Fourth Proportional to 10,385.04, 15,582.24 and 5,642.64

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Solution

The fourth proportional to 10,385.04, 15,582.24 and 5,642.64 is: 8,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.04 : 15,582.24 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    10,385.04/15,582.24 = 5,642.64/x
  3. Step 3: Cross multiply
    10,385.04x = 15,582.24 × 5,642.64
  4. Step 4: Simplify right side
    10,385.04x = 87,924,970.71
  5. Step 5: Solve for x
    x = 87,924,970.71/10,385.04
  6. Step 6: Final answer
    x = 8,466.50

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Why These Related Problems?

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