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Finding the Fourth Proportional to 10,031.09, 15,038.19 and 6,325.16

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Solution

The fourth proportional to 10,031.09, 15,038.19 and 6,325.16 is: 9,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.09 : 15,038.19 = 6,325.16 : x
  2. Step 2: Convert to fraction form
    10,031.09/15,038.19 = 6,325.16/x
  3. Step 3: Cross multiply
    10,031.09x = 15,038.19 × 6,325.16
  4. Step 4: Simplify right side
    10,031.09x = 95,118,957.86
  5. Step 5: Solve for x
    x = 95,118,957.86/10,031.09
  6. Step 6: Final answer
    x = 9,482.41

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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.