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Finding the Fourth Proportional to 10,590.65, 14,615.32 and 6,341.90

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Solution

The fourth proportional to 10,590.65, 14,615.32 and 6,341.90 is: 8,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.65 : 14,615.32 = 6,341.90 : x
  2. Step 2: Convert to fraction form
    10,590.65/14,615.32 = 6,341.90/x
  3. Step 3: Cross multiply
    10,590.65x = 14,615.32 × 6,341.90
  4. Step 4: Simplify right side
    10,590.65x = 92,688,897.91
  5. Step 5: Solve for x
    x = 92,688,897.91/10,590.65
  6. Step 6: Final answer
    x = 8,751.96

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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.