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Finding the Fourth Proportional to 7,547.40, 10,419.83 and 5,033.02

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Solution

The fourth proportional to 7,547.40, 10,419.83 and 5,033.02 is: 6,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.40 : 10,419.83 = 5,033.02 : x
  2. Step 2: Convert to fraction form
    7,547.40/10,419.83 = 5,033.02/x
  3. Step 3: Cross multiply
    7,547.40x = 10,419.83 × 5,033.02
  4. Step 4: Simplify right side
    7,547.40x = 52,443,212.79
  5. Step 5: Solve for x
    x = 52,443,212.79/7,547.40
  6. Step 6: Final answer
    x = 6,948.51

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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.