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Finding the Fourth Proportional to 15,698.52, 23,547.78 and 5,310

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Solution

The fourth proportional to 15,698.52, 23,547.78 and 5,310 is: 7,965

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.52 : 23,547.78 = 5,310 : x
  2. Step 2: Convert to fraction form
    15,698.52/23,547.78 = 5,310/x
  3. Step 3: Cross multiply
    15,698.52x = 23,547.78 × 5,310
  4. Step 4: Simplify right side
    15,698.52x = 125,038,711.80
  5. Step 5: Solve for x
    x = 125,038,711.80/15,698.52
  6. Step 6: Final answer
    x = 7,965

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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.