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Finding the Fourth Proportional to 8,406.49, 11,602.07 and 5,430.98

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Solution

The fourth proportional to 8,406.49, 11,602.07 and 5,430.98 is: 7,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.49 : 11,602.07 = 5,430.98 : x
  2. Step 2: Convert to fraction form
    8,406.49/11,602.07 = 5,430.98/x
  3. Step 3: Cross multiply
    8,406.49x = 11,602.07 × 5,430.98
  4. Step 4: Simplify right side
    8,406.49x = 63,010,655.26
  5. Step 5: Solve for x
    x = 63,010,655.26/8,406.49
  6. Step 6: Final answer
    x = 7,495.48

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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.