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Finding the Fourth Proportional to 7,547.95, 10,417.14 and 4,404.19

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Solution

The fourth proportional to 7,547.95, 10,417.14 and 4,404.19 is: 6,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.95 : 10,417.14 = 4,404.19 : x
  2. Step 2: Convert to fraction form
    7,547.95/10,417.14 = 4,404.19/x
  3. Step 3: Cross multiply
    7,547.95x = 10,417.14 × 4,404.19
  4. Step 4: Simplify right side
    7,547.95x = 45,879,063.82
  5. Step 5: Solve for x
    x = 45,879,063.82/7,547.95
  6. Step 6: Final answer
    x = 6,078.35

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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.