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Finding the Fourth Proportional to 10,955.60, 16,416.12 and 7,056.80

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Solution

The fourth proportional to 10,955.60, 16,416.12 and 7,056.80 is: 10,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.60 : 16,416.12 = 7,056.80 : x
  2. Step 2: Convert to fraction form
    10,955.60/16,416.12 = 7,056.80/x
  3. Step 3: Cross multiply
    10,955.60x = 16,416.12 × 7,056.80
  4. Step 4: Simplify right side
    10,955.60x = 115,845,275.62
  5. Step 5: Solve for x
    x = 115,845,275.62/10,955.60
  6. Step 6: Final answer
    x = 10,574.07

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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.