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Finding the Fourth Proportional to 10,554.33, 14,564.89 and 6,307.23

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Solution

The fourth proportional to 10,554.33, 14,564.89 and 6,307.23 is: 8,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.33 : 14,564.89 = 6,307.23 : x
  2. Step 2: Convert to fraction form
    10,554.33/14,564.89 = 6,307.23/x
  3. Step 3: Cross multiply
    10,554.33x = 14,564.89 × 6,307.23
  4. Step 4: Simplify right side
    10,554.33x = 91,864,111.15
  5. Step 5: Solve for x
    x = 91,864,111.15/10,554.33
  6. Step 6: Final answer
    x = 8,703.93

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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.