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Finding the Fourth Proportional to 10,097.61, 15,148.72 and 3,078.25

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Solution

The fourth proportional to 10,097.61, 15,148.72 and 3,078.25 is: 4,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.61 : 15,148.72 = 3,078.25 : x
  2. Step 2: Convert to fraction form
    10,097.61/15,148.72 = 3,078.25/x
  3. Step 3: Cross multiply
    10,097.61x = 15,148.72 × 3,078.25
  4. Step 4: Simplify right side
    10,097.61x = 46,631,598.53
  5. Step 5: Solve for x
    x = 46,631,598.53/10,097.61
  6. Step 6: Final answer
    x = 4,618.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.