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Finding the Fourth Proportional to 10,402.59, 15,590.28 and 9,083.01

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Solution

The fourth proportional to 10,402.59, 15,590.28 and 9,083.01 is: 13,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.59 : 15,590.28 = 9,083.01 : x
  2. Step 2: Convert to fraction form
    10,402.59/15,590.28 = 9,083.01/x
  3. Step 3: Cross multiply
    10,402.59x = 15,590.28 × 9,083.01
  4. Step 4: Simplify right side
    10,402.59x = 141,606,669.14
  5. Step 5: Solve for x
    x = 141,606,669.14/10,402.59
  6. Step 6: Final answer
    x = 13,612.64

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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.