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Finding the Fourth Proportional to 10,957.60, 16,436.40 and 6,583.60

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Solution

The fourth proportional to 10,957.60, 16,436.40 and 6,583.60 is: 9,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.60 : 16,436.40 = 6,583.60 : x
  2. Step 2: Convert to fraction form
    10,957.60/16,436.40 = 6,583.60/x
  3. Step 3: Cross multiply
    10,957.60x = 16,436.40 × 6,583.60
  4. Step 4: Simplify right side
    10,957.60x = 108,210,683.04
  5. Step 5: Solve for x
    x = 108,210,683.04/10,957.60
  6. Step 6: Final answer
    x = 9,875.40

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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.