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Finding the Fourth Proportional to 10,458.66, 14,433 and 5,742.95

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Solution

The fourth proportional to 10,458.66, 14,433 and 5,742.95 is: 7,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.66 : 14,433 = 5,742.95 : x
  2. Step 2: Convert to fraction form
    10,458.66/14,433 = 5,742.95/x
  3. Step 3: Cross multiply
    10,458.66x = 14,433 × 5,742.95
  4. Step 4: Simplify right side
    10,458.66x = 82,887,925.19
  5. Step 5: Solve for x
    x = 82,887,925.19/10,458.66
  6. Step 6: Final answer
    x = 7,925.29

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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.