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Finding the Fourth Proportional to 10,567.68, 15,851.40 and 5,885.40

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Solution

The fourth proportional to 10,567.68, 15,851.40 and 5,885.40 is: 8,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.68 : 15,851.40 = 5,885.40 : x
  2. Step 2: Convert to fraction form
    10,567.68/15,851.40 = 5,885.40/x
  3. Step 3: Cross multiply
    10,567.68x = 15,851.40 × 5,885.40
  4. Step 4: Simplify right side
    10,567.68x = 93,291,829.56
  5. Step 5: Solve for x
    x = 93,291,829.56/10,567.68
  6. Step 6: Final answer
    x = 8,828.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.