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Finding the Fourth Proportional to 7,698.08, 11,547.13 and 1,854.69

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Solution

The fourth proportional to 7,698.08, 11,547.13 and 1,854.69 is: 2,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.08 : 11,547.13 = 1,854.69 : x
  2. Step 2: Convert to fraction form
    7,698.08/11,547.13 = 1,854.69/x
  3. Step 3: Cross multiply
    7,698.08x = 11,547.13 × 1,854.69
  4. Step 4: Simplify right side
    7,698.08x = 21,416,341.90
  5. Step 5: Solve for x
    x = 21,416,341.90/7,698.08
  6. Step 6: Final answer
    x = 2,782.04

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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.