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Finding the Fourth Proportional to 10,544.32, 15,783.54 and 7,037.20

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Solution

The fourth proportional to 10,544.32, 15,783.54 and 7,037.20 is: 10,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.32 : 15,783.54 = 7,037.20 : x
  2. Step 2: Convert to fraction form
    10,544.32/15,783.54 = 7,037.20/x
  3. Step 3: Cross multiply
    10,544.32x = 15,783.54 × 7,037.20
  4. Step 4: Simplify right side
    10,544.32x = 111,071,927.69
  5. Step 5: Solve for x
    x = 111,071,927.69/10,544.32
  6. Step 6: Final answer
    x = 10,533.82

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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.