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Finding the Fourth Proportional to 10,365.76, 14,316.72 and 7,545.76

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Solution

The fourth proportional to 10,365.76, 14,316.72 and 7,545.76 is: 10,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.76 : 14,316.72 = 7,545.76 : x
  2. Step 2: Convert to fraction form
    10,365.76/14,316.72 = 7,545.76/x
  3. Step 3: Cross multiply
    10,365.76x = 14,316.72 × 7,545.76
  4. Step 4: Simplify right side
    10,365.76x = 108,030,533.11
  5. Step 5: Solve for x
    x = 108,030,533.11/10,365.76
  6. Step 6: Final answer
    x = 10,421.86

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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.