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Finding the Fourth Proportional to 10,136.59, 15,207.66 and 4,876.00

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Solution

The fourth proportional to 10,136.59, 15,207.66 and 4,876.00 is: 7,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.59 : 15,207.66 = 4,876.00 : x
  2. Step 2: Convert to fraction form
    10,136.59/15,207.66 = 4,876.00/x
  3. Step 3: Cross multiply
    10,136.59x = 15,207.66 × 4,876.00
  4. Step 4: Simplify right side
    10,136.59x = 74,152,615.23
  5. Step 5: Solve for x
    x = 74,152,615.23/10,136.59
  6. Step 6: Final answer
    x = 7,315.34

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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.