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Finding the Fourth Proportional to 7,547.91, 10,417.35 and 4,404.09

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Solution

The fourth proportional to 7,547.91, 10,417.35 and 4,404.09 is: 6,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.91 : 10,417.35 = 4,404.09 : x
  2. Step 2: Convert to fraction form
    7,547.91/10,417.35 = 4,404.09/x
  3. Step 3: Cross multiply
    7,547.91x = 10,417.35 × 4,404.09
  4. Step 4: Simplify right side
    7,547.91x = 45,878,946.96
  5. Step 5: Solve for x
    x = 45,878,946.96/7,547.91
  6. Step 6: Final answer
    x = 6,078.36

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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.