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Finding the Fourth Proportional to 10,538.54, 14,543.48 and 5,823.12

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Solution

The fourth proportional to 10,538.54, 14,543.48 and 5,823.12 is: 8,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.54 : 14,543.48 = 5,823.12 : x
  2. Step 2: Convert to fraction form
    10,538.54/14,543.48 = 5,823.12/x
  3. Step 3: Cross multiply
    10,538.54x = 14,543.48 × 5,823.12
  4. Step 4: Simplify right side
    10,538.54x = 84,688,465.60
  5. Step 5: Solve for x
    x = 84,688,465.60/10,538.54
  6. Step 6: Final answer
    x = 8,036.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.