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Finding the Fourth Proportional to 10,765.16, 14,854.02 and 6,574.76

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Solution

The fourth proportional to 10,765.16, 14,854.02 and 6,574.76 is: 9,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.16 : 14,854.02 = 6,574.76 : x
  2. Step 2: Convert to fraction form
    10,765.16/14,854.02 = 6,574.76/x
  3. Step 3: Cross multiply
    10,765.16x = 14,854.02 × 6,574.76
  4. Step 4: Simplify right side
    10,765.16x = 97,661,616.54
  5. Step 5: Solve for x
    x = 97,661,616.54/10,765.16
  6. Step 6: Final answer
    x = 9,072.01

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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.