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Finding the Fourth Proportional to 10,291.47, 15,420.79 and 6,590.65

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Solution

The fourth proportional to 10,291.47, 15,420.79 and 6,590.65 is: 9,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.47 : 15,420.79 = 6,590.65 : x
  2. Step 2: Convert to fraction form
    10,291.47/15,420.79 = 6,590.65/x
  3. Step 3: Cross multiply
    10,291.47x = 15,420.79 × 6,590.65
  4. Step 4: Simplify right side
    10,291.47x = 101,633,029.61
  5. Step 5: Solve for x
    x = 101,633,029.61/10,291.47
  6. Step 6: Final answer
    x = 9,875.46

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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.