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Finding the Fourth Proportional to 7,810.03, 11,706.82 and 4,848.46

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Solution

The fourth proportional to 7,810.03, 11,706.82 and 4,848.46 is: 7,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.03 : 11,706.82 = 4,848.46 : x
  2. Step 2: Convert to fraction form
    7,810.03/11,706.82 = 4,848.46/x
  3. Step 3: Cross multiply
    7,810.03x = 11,706.82 × 4,848.46
  4. Step 4: Simplify right side
    7,810.03x = 56,760,048.50
  5. Step 5: Solve for x
    x = 56,760,048.50/7,810.03
  6. Step 6: Final answer
    x = 7,267.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.