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Finding the Fourth Proportional to 10,595.64, 15,897.96 and 5,664

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Solution

The fourth proportional to 10,595.64, 15,897.96 and 5,664 is: 8,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.64 : 15,897.96 = 5,664 : x
  2. Step 2: Convert to fraction form
    10,595.64/15,897.96 = 5,664/x
  3. Step 3: Cross multiply
    10,595.64x = 15,897.96 × 5,664
  4. Step 4: Simplify right side
    10,595.64x = 90,046,045.44
  5. Step 5: Solve for x
    x = 90,046,045.44/10,595.64
  6. Step 6: Final answer
    x = 8,498.41

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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.