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Finding the Fourth Proportional to 10,762.05, 14,851.76 and 6,513.06

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Solution

The fourth proportional to 10,762.05, 14,851.76 and 6,513.06 is: 8,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.05 : 14,851.76 = 6,513.06 : x
  2. Step 2: Convert to fraction form
    10,762.05/14,851.76 = 6,513.06/x
  3. Step 3: Cross multiply
    10,762.05x = 14,851.76 × 6,513.06
  4. Step 4: Simplify right side
    10,762.05x = 96,730,346.01
  5. Step 5: Solve for x
    x = 96,730,346.01/10,762.05
  6. Step 6: Final answer
    x = 8,988.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.