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Finding the Fourth Proportional to 10,756.76, 14,844.32 and 6,565

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Solution

The fourth proportional to 10,756.76, 14,844.32 and 6,565 is: 9,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.76 : 14,844.32 = 6,565 : x
  2. Step 2: Convert to fraction form
    10,756.76/14,844.32 = 6,565/x
  3. Step 3: Cross multiply
    10,756.76x = 14,844.32 × 6,565
  4. Step 4: Simplify right side
    10,756.76x = 97,452,960.80
  5. Step 5: Solve for x
    x = 97,452,960.80/10,756.76
  6. Step 6: Final answer
    x = 9,059.69

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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.