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Finding the Fourth Proportional to 10,430.40, 14,386.53 and 6,453.39

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Solution

The fourth proportional to 10,430.40, 14,386.53 and 6,453.39 is: 8,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.40 : 14,386.53 = 6,453.39 : x
  2. Step 2: Convert to fraction form
    10,430.40/14,386.53 = 6,453.39/x
  3. Step 3: Cross multiply
    10,430.40x = 14,386.53 × 6,453.39
  4. Step 4: Simplify right side
    10,430.40x = 92,841,888.84
  5. Step 5: Solve for x
    x = 92,841,888.84/10,430.40
  6. Step 6: Final answer
    x = 8,901.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.