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Finding the Fourth Proportional to 10,509.76, 15,768.40 and 4,503.31

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Solution

The fourth proportional to 10,509.76, 15,768.40 and 4,503.31 is: 6,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.76 : 15,768.40 = 4,503.31 : x
  2. Step 2: Convert to fraction form
    10,509.76/15,768.40 = 4,503.31/x
  3. Step 3: Cross multiply
    10,509.76x = 15,768.40 × 4,503.31
  4. Step 4: Simplify right side
    10,509.76x = 71,009,993.40
  5. Step 5: Solve for x
    x = 71,009,993.40/10,509.76
  6. Step 6: Final answer
    x = 6,756.58

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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.