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Finding the Fourth Proportional to 10,302.03, 15,431.47 and 6,585.35

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Solution

The fourth proportional to 10,302.03, 15,431.47 and 6,585.35 is: 9,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.03 : 15,431.47 = 6,585.35 : x
  2. Step 2: Convert to fraction form
    10,302.03/15,431.47 = 6,585.35/x
  3. Step 3: Cross multiply
    10,302.03x = 15,431.47 × 6,585.35
  4. Step 4: Simplify right side
    10,302.03x = 101,621,537.34
  5. Step 5: Solve for x
    x = 101,621,537.34/10,302.03
  6. Step 6: Final answer
    x = 9,864.22

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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.