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Finding the Fourth Proportional to 10,031.64, 15,048.26 and 3,011.16

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Solution

The fourth proportional to 10,031.64, 15,048.26 and 3,011.16 is: 4,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.64 : 15,048.26 = 3,011.16 : x
  2. Step 2: Convert to fraction form
    10,031.64/15,048.26 = 3,011.16/x
  3. Step 3: Cross multiply
    10,031.64x = 15,048.26 × 3,011.16
  4. Step 4: Simplify right side
    10,031.64x = 45,312,788.19
  5. Step 5: Solve for x
    x = 45,312,788.19/10,031.64
  6. Step 6: Final answer
    x = 4,516.99

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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.