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Finding the Fourth Proportional to 10,316.80, 15,483.84 and 6,843.52

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Solution

The fourth proportional to 10,316.80, 15,483.84 and 6,843.52 is: 10,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.80 : 15,483.84 = 6,843.52 : x
  2. Step 2: Convert to fraction form
    10,316.80/15,483.84 = 6,843.52/x
  3. Step 3: Cross multiply
    10,316.80x = 15,483.84 × 6,843.52
  4. Step 4: Simplify right side
    10,316.80x = 105,963,968.72
  5. Step 5: Solve for x
    x = 105,963,968.72/10,316.80
  6. Step 6: Final answer
    x = 10,271.01

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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.