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Finding the Fourth Proportional to 10,453.54, 14,437.76 and 7,090.50

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Solution

The fourth proportional to 10,453.54, 14,437.76 and 7,090.50 is: 9,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.54 : 14,437.76 = 7,090.50 : x
  2. Step 2: Convert to fraction form
    10,453.54/14,437.76 = 7,090.50/x
  3. Step 3: Cross multiply
    10,453.54x = 14,437.76 × 7,090.50
  4. Step 4: Simplify right side
    10,453.54x = 102,370,937.28
  5. Step 5: Solve for x
    x = 102,370,937.28/10,453.54
  6. Step 6: Final answer
    x = 9,792.94

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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.