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Finding the Fourth Proportional to 6,894.04, 10,347.20 and 4,547.48

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Solution

The fourth proportional to 6,894.04, 10,347.20 and 4,547.48 is: 6,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.04 : 10,347.20 = 4,547.48 : x
  2. Step 2: Convert to fraction form
    6,894.04/10,347.20 = 4,547.48/x
  3. Step 3: Cross multiply
    6,894.04x = 10,347.20 × 4,547.48
  4. Step 4: Simplify right side
    6,894.04x = 47,053,685.06
  5. Step 5: Solve for x
    x = 47,053,685.06/6,894.04
  6. Step 6: Final answer
    x = 6,825.27

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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.