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Finding the Fourth Proportional to 10,573.08, 15,854.16 and 4,647.60

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Solution

The fourth proportional to 10,573.08, 15,854.16 and 4,647.60 is: 6,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.08 : 15,854.16 = 4,647.60 : x
  2. Step 2: Convert to fraction form
    10,573.08/15,854.16 = 4,647.60/x
  3. Step 3: Cross multiply
    10,573.08x = 15,854.16 × 4,647.60
  4. Step 4: Simplify right side
    10,573.08x = 73,683,794.02
  5. Step 5: Solve for x
    x = 73,683,794.02/10,573.08
  6. Step 6: Final answer
    x = 6,969.00

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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.