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Finding the Fourth Proportional to 10,386.40, 14,333.06 and 5,670.60

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Solution

The fourth proportional to 10,386.40, 14,333.06 and 5,670.60 is: 7,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.40 : 14,333.06 = 5,670.60 : x
  2. Step 2: Convert to fraction form
    10,386.40/14,333.06 = 5,670.60/x
  3. Step 3: Cross multiply
    10,386.40x = 14,333.06 × 5,670.60
  4. Step 4: Simplify right side
    10,386.40x = 81,277,050.04
  5. Step 5: Solve for x
    x = 81,277,050.04/10,386.40
  6. Step 6: Final answer
    x = 7,825.33

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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.