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Finding the Fourth Proportional to 10,590.76, 14,615.62 and 5,875.24

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Solution

The fourth proportional to 10,590.76, 14,615.62 and 5,875.24 is: 8,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.76 : 14,615.62 = 5,875.24 : x
  2. Step 2: Convert to fraction form
    10,590.76/14,615.62 = 5,875.24/x
  3. Step 3: Cross multiply
    10,590.76x = 14,615.62 × 5,875.24
  4. Step 4: Simplify right side
    10,590.76x = 85,870,275.25
  5. Step 5: Solve for x
    x = 85,870,275.25/10,590.76
  6. Step 6: Final answer
    x = 8,108.04

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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.